Long-range fermions and critical dualities

We construct long-range fermionic models with the Gross-Neveu and Gross-Neveu-Yukawa interaction, and argue that their critical regimes are equivalent. To this end, we calculate various CFT data in epsilon- and 1/N-expansion, and demonstrate their agreement in the overlapping regimes of validity.

Automated summary

This study constructs long-range fermionic models with Gross-Neveu and Gross-Neveu-Yukawa interactions, and argues that their critical regimes are equivalent. Various CFT data are calculated in epsilon- and 1/N-expansion, and their agreement is demonstrated in the overlapping regimes of validity.